Some results on the ordering of the Laplacian spectral radii of unicyclic graphs

DOI10.1016/j.dam.2007.11.006zbMath1155.05044OpenAlexW2021903348MaRDI QIDQ948689

Xi-Ying Yuan, Ying Liu, Jia-yu Shao

Publication date: 17 October 2008

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2007.11.006

zbMATH Keywords

characteristic polynomialunicyclic graphLaplacian spectral radius

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items

New method and new results on the order of spectral radius ⋮ On ordering bicyclic graphs with respect to the Laplacian spectral radius ⋮ On the ordering of the Kirchhoff indices of the complements of trees and unicyclic graphs ⋮ Unnamed Item ⋮ On the Laplacian spectral radius of bipartite graphs with fixed order and size ⋮ An edge-grafting theorem on Laplacian spectra of graphs and its application ⋮ Some results on the Laplacian eigenvalues of unicyclic graphs ⋮ The Laplacian spectral radius of tricyclic graphs with \(n\) vertices and \(k\) pendant vertices

Cites Work

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• The effect on the Laplacian spectral radius of a graph by adding or grafting edges
• The Laplacian spectral radius of a graph under perturbation
• A note on Laplacian graph eigenvalues
• Laplacian matrices of graphs: A survey
• A new upper bound for eigenvalues of the Laplacian matrix of a graph
• The Laplacian Spectrum of a Graph II